Packages / Fedora 44 / Unspecified / gap-pkg-factint

Package: gap-pkg-factint (1.7.0-1.fc44)

Advanced methods for factoring integers

FactInt provides implementations of the following methods for factoring integers: - Pollard's p-1 - Williams' p+1 - Elliptic Curves Method (ECM) - Continued Fraction Algorithm (CFRAC) - Multiple Polynomial Quadratic Sieve (MPQS) FactInt also makes use of Richard P. Brent's tables of known factors of integers of the form bk+/-1 for "small" b. The ECM method is suited best for finding factors which are neither too small (i.e. have less than about 12 decimal digits) nor too close to the square root of the number to be factored. The MPQS method is designed for factoring products of two primes of comparable orders of magnitude. CFRAC is the historical predecessor of the MPQS method. Pollard's p-1 and Williams' p+1 are useful for finding factors p such that all prime factors of p-1 (respectively p+1) are "small", e.g. smaller than 1000000. All factoring methods implemented in this package are probabilistic. In particular the time needed by the ECM method depends largely on luck. FactInt provides a general-purpose factorization routine which uses an appropriate combination of the methods mentioned above, the Pollard Rho routine which is implemented in the GAP Library and a variety of tricks for special cases to obtain a good average performance for "arbitrary" integers. At the user's option, FactInt provides detailed information about the progress of the factorization process.

Other Packages Related to gap-pkg-factint:

dep: [gap-core] (>= 4.8.8)
GAP core components

Download gap-pkg-factint

Architecture	Package size	Installed size	Files	Package
noarch	11 MiB	10 MiB	list of files	Download

Package file paths (4,579)

Showing the first 250 sorted package-associated paths. Use file search to locate a specific path.

/usr/share/doc/gap-pkg-factint
/usr/share/doc/gap-pkg-factint/CHANGES
/usr/share/doc/gap-pkg-factint/CHANGES.md
/usr/share/doc/gap-pkg-factint/README.md
/usr/share/gap/pkg/FactInt
/usr/share/gap/pkg/FactInt/init.g
/usr/share/gap/pkg/FactInt/lib
/usr/share/gap/pkg/FactInt/lib/cfrac.gi
/usr/share/gap/pkg/FactInt/lib/ecm.gi
/usr/share/gap/pkg/FactInt/lib/factint.gd
/usr/share/gap/pkg/FactInt/lib/general.gi
/usr/share/gap/pkg/FactInt/lib/mpqs.gi
/usr/share/gap/pkg/FactInt/lib/pminus1.gi
/usr/share/gap/pkg/FactInt/lib/pplus1.gi
/usr/share/gap/pkg/FactInt/makedoc.g
/usr/share/gap/pkg/FactInt/PackageInfo.g
/usr/share/gap/pkg/FactInt/read.g
/usr/share/gap/pkg/FactInt/tables
/usr/share/gap/pkg/FactInt/tables/3k2k.g
/usr/share/gap/pkg/FactInt/tables/akbk.g
/usr/share/gap/pkg/FactInt/tables/brent
/usr/share/gap/pkg/FactInt/tables/brent/brfac10
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Field source: Fedora 44 updates x86_64 revision 44-updates-x86_64:ffcac72d41afd8a62019714dd668a27f333f8ac19678580178b5b67c23ca6419

Use this package

OpenFactory can boot this operating system in a browser VM, or start a build that includes the native package name from this record.

Try Fedora 44 in the browser Build an image that includes gap-pkg-factint

Versions, suites, and repositories

Each row is recorded package-index metadata for one version, architecture, suite, and repository. Names, URLs, and sizes are source-reported; a link is a potentially mutable retrieval location, not an OpenFactory redistribution claim or proof that OpenFactory retained the artifact bytes.

Version	Release	Architecture	Repository	Package size	Installed size	Publisher repository artifact
1.7.0-1.fc44	44 / updates	noarch	Fedora 44 · updates · x86_64	11 MiB	10 MiB	Packages/g/gap-pkg-factint-1.7.0-1.fc44.noarch.rpm
1.7.0-1.fc44	44 / updates	noarch	Fedora 44 · updates · aarch64	11 MiB	10 MiB	Packages/g/gap-pkg-factint-1.7.0-1.fc44.noarch.rpm
1.6.3-27.fc44	44 / everything	noarch	Fedora 44 · Everything · x86_64	4.5 MiB	10 MiB	Packages/g/gap-pkg-factint-1.6.3-27.fc44.noarch.rpm
1.6.3-27.fc44	44 / everything	noarch	Fedora 44 · Everything · aarch64	4.5 MiB	10 MiB	Packages/g/gap-pkg-factint-1.6.3-27.fc44.noarch.rpm

Field source: Fedora 44 updates x86_64 revision 44-updates-x86_64:ffcac72d41afd8a62019714dd668a27f333f8ac19678580178b5b67c23ca6419

Checksums and observation dates

For an APT source, signature verification authenticates the repository metadata chain and the Packages index containing this source-reported artifact digest. It does not certify package safety.

1.7.0-1.fc44 / noarchObserved Sep 1, 2026 to Sep 1, 2026

Verification status: Metadata observed; artifact bytes were not independently fetched or hashed by this catalog import. The digest below is source-reported.

Source-reported sha256: 81b6087dfa518927619f2141fcafafe382db94a03673e7ba6b28b7863ed07ba5

After downloading that exact artifact, compare its bytes with the source-reported expected digest:

printf '%s  %s\n' '81b6087dfa518927619f2141fcafafe382db94a03673e7ba6b28b7863ed07ba5' 'gap-pkg-factint-1.7.0-1.fc44.noarch.rpm' | sha256sum --check --strict -

A match establishes equality with the repository metadata value. It does not establish safety or catalog-side artifact retrieval.

Field source: Fedora 44 updates x86_64 revision 44-updates-x86_64:ffcac72d41afd8a62019714dd668a27f333f8ac19678580178b5b67c23ca6419

1.7.0-1.fc44 / noarchObserved Sep 1, 2026 to Sep 1, 2026

Verification status: Metadata observed; artifact bytes were not independently fetched or hashed by this catalog import. The digest below is source-reported.

Source-reported sha256: 81b6087dfa518927619f2141fcafafe382db94a03673e7ba6b28b7863ed07ba5

After downloading that exact artifact, compare its bytes with the source-reported expected digest:

printf '%s  %s\n' '81b6087dfa518927619f2141fcafafe382db94a03673e7ba6b28b7863ed07ba5' 'gap-pkg-factint-1.7.0-1.fc44.noarch.rpm' | sha256sum --check --strict -

A match establishes equality with the repository metadata value. It does not establish safety or catalog-side artifact retrieval.

Field source: Fedora 44 updates aarch64 revision 44-updates-aarch64:6ecf7f9a3a707e537dd0c542e2f5fabb365c3c76c03b091b23e9c82d7f8ff88b

1.6.3-27.fc44 / noarchObserved Sep 1, 2026 to Sep 1, 2026

Verification status: Metadata observed; artifact bytes were not independently fetched or hashed by this catalog import. The digest below is source-reported.

Source-reported sha256: 7f19a4e9d37e9f99c8d5eba2233903e321e6481bf6b55caf7d7abbd63ffd138e

After downloading that exact artifact, compare its bytes with the source-reported expected digest:

printf '%s  %s\n' '7f19a4e9d37e9f99c8d5eba2233903e321e6481bf6b55caf7d7abbd63ffd138e' 'gap-pkg-factint-1.6.3-27.fc44.noarch.rpm' | sha256sum --check --strict -

A match establishes equality with the repository metadata value. It does not establish safety or catalog-side artifact retrieval.

Field source: Fedora 44 Everything x86_64 revision 44-everything-x86_64:da3845427d188097f6fd71b417a039bdfb8efefc4f38ca44b5cbb94f95a18991

1.6.3-27.fc44 / noarchObserved Sep 1, 2026 to Sep 1, 2026

Verification status: Metadata observed; artifact bytes were not independently fetched or hashed by this catalog import. The digest below is source-reported.

Source-reported sha256: 7f19a4e9d37e9f99c8d5eba2233903e321e6481bf6b55caf7d7abbd63ffd138e

After downloading that exact artifact, compare its bytes with the source-reported expected digest:

printf '%s  %s\n' '7f19a4e9d37e9f99c8d5eba2233903e321e6481bf6b55caf7d7abbd63ffd138e' 'gap-pkg-factint-1.6.3-27.fc44.noarch.rpm' | sha256sum --check --strict -

A match establishes equality with the repository metadata value. It does not establish safety or catalog-side artifact retrieval.

Field source: Fedora 44 Everything aarch64 revision 44-everything-aarch64:ad124f8125666e9059d7a8180427bdaea80f6286f71140457e5c7edd95883eee

Sources and provenance

Field-source links above resolve here. Each source entry names the metadata publisher, trust tier, exact snapshot revision, signature result, and observation time; catalog-derived mappings are labeled separately.

Fedora 44 Everything aarch64Sep 1, 2026
Authoritative source; repository metadata signature verified, revision 44-everything-aarch64:ad124f8125666e9059d7a8180427bdaea80f6286f71140457e5c7edd95883eee
Signature verification covers the configured repository metadata chain. It does not certify that the package is safe or suitable.
Repository-signature verification record
Signed object
https://mirrors.fedoraproject.org/metalink?repo=fedora-44&arch=aarch64
Signed-object SHA-256
236514c32119ab3c85b81fbb9e5e9d92b07aeba0d19d64c9b4fc9117a1863769
Signer fingerprint
Not recorded
Keyring revision
RPM-GPG-KEY-fedora-44-primary
SHA-256 93642aec521a1e5e96dd715f7ae0ec0850ebc9de09a94ce03cae5263f26cc18a
Tool and policy
1
openfactory-software-catalog-signature-v1
Verification time
Sep 1, 2026
Signed Release → package-index hash linkage
Path: Not recorded
Expected SHA-256: Not recorded
Observed SHA-256: Not recorded
Result: match verified
Fedora 44 Everything x86_64Sep 1, 2026
Authoritative source; repository metadata signature verified, revision 44-everything-x86_64:da3845427d188097f6fd71b417a039bdfb8efefc4f38ca44b5cbb94f95a18991
Signature verification covers the configured repository metadata chain. It does not certify that the package is safe or suitable.
Repository-signature verification record
Signed object
https://mirrors.fedoraproject.org/metalink?repo=fedora-44&arch=x86_64
Signed-object SHA-256
1300b99ac5d04b5561ad901320c8bd59ed1553f4971c3ce2ca48c40242c66676
Signer fingerprint
Not recorded
Keyring revision
RPM-GPG-KEY-fedora-44-primary
SHA-256 93642aec521a1e5e96dd715f7ae0ec0850ebc9de09a94ce03cae5263f26cc18a
Tool and policy
1
openfactory-software-catalog-signature-v1
Verification time
Sep 1, 2026
Signed Release → package-index hash linkage
Path: Not recorded
Expected SHA-256: Not recorded
Observed SHA-256: Not recorded
Result: match verified
Fedora 44 updates aarch64Sep 1, 2026
Authoritative source; repository metadata signature verified, revision 44-updates-aarch64:6ecf7f9a3a707e537dd0c542e2f5fabb365c3c76c03b091b23e9c82d7f8ff88b
Signature verification covers the configured repository metadata chain. It does not certify that the package is safe or suitable.
Repository-signature verification record
Signed object
https://mirrors.fedoraproject.org/metalink?repo=updates-released-f44&arch=aarch64
Signed-object SHA-256
2ec0ba92e556309075d8efe3c3301b36bb7ecd47c4e17566f0192c9c5436ed5f
Signer fingerprint
Not recorded
Keyring revision
RPM-GPG-KEY-fedora-44-primary
SHA-256 93642aec521a1e5e96dd715f7ae0ec0850ebc9de09a94ce03cae5263f26cc18a
Tool and policy
1
openfactory-software-catalog-signature-v1
Verification time
Sep 1, 2026
Signed Release → package-index hash linkage
Path: Not recorded
Expected SHA-256: Not recorded
Observed SHA-256: Not recorded
Result: match verified
Fedora 44 updates x86_64Sep 1, 2026
Authoritative source; repository metadata signature verified, revision 44-updates-x86_64:ffcac72d41afd8a62019714dd668a27f333f8ac19678580178b5b67c23ca6419
Signature verification covers the configured repository metadata chain. It does not certify that the package is safe or suitable.
Repository-signature verification record
Signed object
https://mirrors.fedoraproject.org/metalink?repo=updates-released-f44&arch=x86_64
Signed-object SHA-256
a69a0ab020457a7af2515066b7caccb3950bcf9dc7bedb52b1850098d9857ae1
Signer fingerprint
Not recorded
Keyring revision
RPM-GPG-KEY-fedora-44-primary
SHA-256 93642aec521a1e5e96dd715f7ae0ec0850ebc9de09a94ce03cae5263f26cc18a
Tool and policy
1
openfactory-software-catalog-signature-v1
Verification time
Sep 1, 2026
Signed Release → package-index hash linkage
Path: Not recorded
Expected SHA-256: Not recorded
Observed SHA-256: Not recorded
Result: match verified